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Finding the Fourth Proportional to 647,708.80, 971,217.60 and 273,308.80

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Solution

The fourth proportional to 647,708.80, 971,217.60 and 273,308.80 is: 409,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,708.80 : 971,217.60 = 273,308.80 : x
  2. Step 2: Convert to fraction form
    647,708.80/971,217.60 = 273,308.80/x
  3. Step 3: Cross multiply
    647,708.80x = 971,217.60 × 273,308.80
  4. Step 4: Simplify right side
    647,708.80x = 265,442,316,794.88
  5. Step 5: Solve for x
    x = 265,442,316,794.88/647,708.80
  6. Step 6: Final answer
    x = 409,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.